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On S-2-absorbing submodules and vn-regular modules Cover

References

  1. [1] Ameri, R., On the prime submodules of multiplication modules, Int. J. Math. Sci. 2003(27) (2003), 1715-1724.10.1155/S0161171203202180
  2. [2] Anderson, F. W., & Fuller, K. R., Rings and categories of modules (Vol. 13). Springer Science & Business Media, 2012.
  3. [3] Anderson, D. D. and Winders, M., Idealization of a module. J. Comm. Alg. 1(1) (2009), 3-56.10.1216/JCA-2009-1-1-3
  4. [4] Badawi, A., On 2-absorbing ideals of commutative rings. Bulletin of the Australian Mathematical Society, 75(3) (2007), 417-429.10.1017/S0004972700039344
  5. [5] Darani, A. Y., & Soheilnia, F., On n-absorbing submodules. Mathematical Communications, 17(2) (2012), 547-557.
  6. [6] Bilgin, Z., Oral, K. H., Coprimely Structured Modules. Palestine Journal of Mathematics, 7(Special Issue I) (2018), 161-169.
  7. [7] Darani, A. Y., Soheilnia, F., Tekir, U., & Ulucak, G., On weakly 2-absorbing primary submodules of modules over commutative rings. J. Korean Math. Soc, 54(5) (2017), 1505-1519.
  8. [8] El-Bast, Z. A., & Smith, P. F., Multiplication modules. Communications in Algebra, 16(4) (1988), 755-779.10.1080/00927878808823601
  9. [9] Jayaram, C., & Tekir,Ü., von Neumann regular modules. Communications in Algebra, 46(5) (2018), 2205-2217.10.1080/00927872.2017.1372460
  10. [10] Koc, S., Uregen, R. N., & Tekir, U., On 2-Absorbing Quasi Primary Submodules. Filomat, 31(10) (2017), 2943-2950.10.2298/FIL1710943K
  11. [11] Lee, T. K., & Zhou, Y., Reduced modules. Rings, modules, algebras and abelian groups, 236 (2004), 365-377.10.1201/9780824750817.ch29
  12. [12] Lee, T. K., & Zhou, Y., Morphic rings and unit regular rings. Journal of Pure and Applied Algebra, 210(2) (2007), 501-510.10.1016/j.jpaa.2006.10.005
  13. [13] Manaviyat, R., Moussavi, A., & Habibi, M., Principally quasi-Baer skew power series rings. Communications in Algebra®, 38(6) (2010), 2164-2176.10.1080/00927870903045173
  14. [14] Mostafanasab, H., Yetkin, E., Tekir,Ü., & Darani, A. Y., On 2-absorbing primary submodules of modules over commutative rings. Analele Universitatii” Ovidius” Constanta-Seria Matematica, 24(1) (2016), 335-351.10.1515/auom-2016-0020
  15. [15] Nagata, M. Local rings. Interscience Tracts in Pure and Appl. Math., 1962.
  16. [16] Payrovi, Sh. and Babaei, S., On 2-absorbing submodules, Algebra Colloq., 19 (2012), 913-920.10.1142/S1005386712000776
  17. [17] Payrovi, S., & Babaei, S., On the 2-absorbing submodules. Iran. J. Math. Sci. Inform, 10(1) (2015), 131-137.
  18. [18] Sevim, E. Ş., Arabaci, T., Tekir,Ü., & Koc, S., On S-prime submodules. Turkish Journal of Mathematics, 43(2) (2019), 1036-1046.10.3906/mat-1808-50
  19. [19] Smith, P. F., Some remark on multiplication modules, Archiv der Mathematik, 50(3) (1988): 223-235.10.1007/BF01187738
  20. [20] Smith, P. F., Mappings between module lattices. International Electronic Journal of Algebra, 15(15) (2014), 173-195.10.24330/ieja.266246
  21. [21] Von Neumann, J., On regular rings. Proceedings of the National Academy of Sciences of the United States of America, 22(12) (1936), 707.10.1073/pnas.22.12.707107684916577757
  22. [22] Zhu, H., & Ding, N., Generalized morphic rings and their applications. Communications in Algebra, 35(9) (2007), 2820-2837.10.1080/00927870701354017
DOI: https://doi.org/10.2478/auom-2020-0030 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 239 - 257
Submitted on: Aug 31, 2019
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Accepted on: Dec 17, 2019
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Published on: Sep 22, 2020
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Gülşen Ulucak, Ünsal Tekir, Suat Koç, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.